Hyperconnectedness and Resolvability of Soft Ideal Topological Spaces

Author:

Al-Omari Ahmad1ORCID,Alqurashi Wafa2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Al-al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan

2. Department of Mathematic, Faculty of Sciences, Umm Al-Qura University, P.O. Box 11155, Makkah 21955, Saudi Arabia

Abstract

This paper introduces and explores the concept of soft ideal dense sets, utilizing soft open sets and soft local functions, to examine their fundamental characteristics under some conditions for the following notions: soft ideal hyperconnectedness, soft ideal resolvability, soft ideal irresolvability, and soft ideal semi-irresolvability in soft ideal topological spaces. Moreover, it explores the relationship between these notions if τ⊓I¯=ϕE is obtained in the soft set environment.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference30 articles.

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4. Soft ideal theory, Soft local function and generated soft topological spaces;Kandil;Appl. Math. Inf. Sci.,2014

5. Soft sets and soft groups;Aktas;Inf. Sci.,2007

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